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GeezerVison is showing mathworld.wolfram.com — Normal Series -- from Wolfram MathWorld

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Normal Series

A normal series of a group G is a finite sequence (A_0,...,A_r) of subgroups in which each term is a normal subgroup of the next, so that

I=A_0<|A_1<|...<|A_r=G.

See also

Composition Series, Invariant Series, Normal Factor, Normal Subgroup

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References

Scott, W. R. Group Theory. New York: Dover, p. 36, 1987.

Referenced on Wolfram|Alpha

Normal Series

Cite this as:

Weisstein, Eric W. "Normal Series." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NormalSeries.html

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